Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena.
TOPICS: philosophy, nature, conjectures
It is the first duty of a hypothesis to be intelligible.
TOPICS: research, conjectures
In mathematics the art of proposing a question must be held of higher value than solving it.
TOPICS: problems, conjectures
SOURCE: A thesis defended at Cantor’s doctoral dissertation.